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Finding the Third Proportional to 1,874,232,059 and 2,742,356,152

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Solution

The third proportional to 1,874,232,059 and 2,742,356,152 is: 4,012,585,969.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874,232,059 : 2,742,356,152 = 2,742,356,152 : x
  2. Step 2: Convert to fraction form
    1,874,232,059/2,742,356,152 = 2,742,356,152/x
  3. Step 3: Cross multiply
    1,874,232,059x = 2,742,356,152 × 2,742,356,152
  4. Step 4: Simplify right side
    1,874,232,059x = 7,520,517,264,412,247,040
  5. Step 5: Solve for x
    x = 7,520,517,264,412,247,040/1,874,232,059
  6. Step 6: Final answer
    x = 4,012,585,969.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.